How many 5 letter words ( with or without meaning) can be formed using the letters of the word great? Such that all vowels are together
Answers
Answer: Dear student, The word 'EQUATION' has 8 letters. There are 5 vowels: a, e, i, o, u and 3 consonants : q, t, n.
Answer:
48
Step-by-step explanation:
we have to separate the consonants and vowels and consider each time the set of the consonants and vowels as a single letter.
no
Here, word is GREAT
The total number of words can be formed using all letters of the word GREAT is 5!=5*4*3*2*1=120
vowels---E ,A (there are 2 vowels in given word )
given, vowels are together
consonants---G,R,T(thre are 3 consonants in given word)
the vowels can be arranged in 2! ways
No. of vowels in word: 2
So, both vowels can be arranged in 2 ways together.
total number of words (vowel together):
2!×4!=2×24=48
when a vowel is together, there will be 4 places to be filled in word
total number of words (vowels together)=48
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